We propose the construction of a class of L 2 stable quasi-interpolation operators onto the space of splines on tensor-product meshes, in any space dimension. The estimate we propose is robust with respect to knot repetition and to knot "vicinity" (up to p + 1 knots), so it applies to the most general scenario in which the B-spline functions are known to be well defined.
On quasi-interpolation operators in spline spaces
A Buffa;G Sangalli
2016
Abstract
We propose the construction of a class of L 2 stable quasi-interpolation operators onto the space of splines on tensor-product meshes, in any space dimension. The estimate we propose is robust with respect to knot repetition and to knot "vicinity" (up to p + 1 knots), so it applies to the most general scenario in which the B-spline functions are known to be well defined.File in questo prodotto:
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